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Finding the Fourth Proportional to 222.34, 305.65 and 198.79

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Solution

The fourth proportional to 222.34, 305.65 and 198.79 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.34 : 305.65 = 198.79 : x
  2. Step 2: Convert to fraction form
    222.34/305.65 = 198.79/x
  3. Step 3: Cross multiply
    222.34x = 305.65 × 198.79
  4. Step 4: Simplify right side
    222.34x = 60,760.16
  5. Step 5: Solve for x
    x = 60,760.16/222.34
  6. Step 6: Final answer
    x = 273.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.